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arXiv · 1911.09755

An Efficient Parametric Linear Programming Solver and Application to Polyhedral Projection

Hang Yu·David Monniaux
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Abstract

Polyhedral projection is a main operation of the polyhedron abstract domain.It can be computed via parametric linear programming (PLP), which is more efficient than the classic Fourier-Motzkin elimination method.In prior work, PLP was done in arbitrary precision rational arithmetic.In this paper, we present an approach where most of the computation is performed in floating-point arithmetic, then exact rational results are reconstructed.We also propose a workaround for a difficulty that plagued previous attempts at using PLP for computations on polyhedra: in general the linear programming problems are degenerate, resulting in redundant computations and geometric descriptions.

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Hang Yu, David Monniaux. 2019-11-18. An Efficient Parametric Linear Programming Solver and Application to Polyhedral Projection. https://doi.org/10.1007/978-3-030-32304-2_11

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